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Finding the Fourth Proportional to 416.88, 623.78 and 334.37

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Solution

The fourth proportional to 416.88, 623.78 and 334.37 is: 500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.88 : 623.78 = 334.37 : x
  2. Step 2: Convert to fraction form
    416.88/623.78 = 334.37/x
  3. Step 3: Cross multiply
    416.88x = 623.78 × 334.37
  4. Step 4: Simplify right side
    416.88x = 208,568.53
  5. Step 5: Solve for x
    x = 208,568.53/416.88
  6. Step 6: Final answer
    x = 500.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.